Search a number
-
+
2128371336 = 23337131941139
BaseRepresentation
bin111111011011100…
…0101111010001000
312111022220110121000
41332313011322020
513324330340321
6551110215000
7103512600150
oct17667057210
95438813530
102128371336
119a2456983
124b4954460
1327bc42730
14162953760
15c6cbd826
hex7edc5e88

2128371336 has 512 divisors, whose sum is σ = 7902720000. Its totient is φ = 515082240.

The previous prime is 2128371281. The next prime is 2128371337. The reversal of 2128371336 is 6331738212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (36288) is a multiple of the sum of its prime divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 2128371336.

It is not an unprimeable number, because it can be changed into a prime (2128371337) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15311955 + ... + 15312093.

It is an arithmetic number, because the mean of its divisors is an integer number (15435000).

Almost surely, 22128371336 is an apocalyptic number.

2128371336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128371336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951360000).

2128371336 is an abundant number, since it is smaller than the sum of its proper divisors (5774348664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2128371336 is a wasteful number, since it uses less digits than its factorization.

2128371336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2128371336 is about 46134.2750674593. The cubic root of 2128371336 is about 1286.3203305388.

The spelling of 2128371336 in words is "two billion, one hundred twenty-eight million, three hundred seventy-one thousand, three hundred thirty-six".